Central \(p\)-extensions of \((p, p, \dots, p)\)-type Galois groups

DOI10.1006/jabr.1996.0373zbMath0870.12005OpenAlexW2000574806MaRDI QIDQ1125891

John R. Swallow

Publication date: 11 September 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.0373

zbMATH Keywords

Galois groupGalois extensioninverse Galois problemcentral \(p\)-extensionsobstructions to embedding problems

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Finite nilpotent groups, (p)-groups (20D15)

Related Items (8)

Four non-abelian groups of order \(p^4\) as Galois groups ⋮ Parameterizing solutions to any Galois embedding problem over \(\mathbb{Z}/p^n\mathbb{Z}\) with elementary \(p\)-abelian kernel ⋮ Explicit solutions of Galois embedding problems by means of generalized Clifford algebras ⋮ Galois averages ⋮ Embedding problems over abelian groups and an application to elliptic curves ⋮ Arithmetic properties encoded in the Galois module structure of \(K^\times / K^{\times p^m}\) ⋮ Galois parallelograms ⋮ QUADRATIC CORESTRICTION, -EMBEDDING PROBLEMS, AND EXPLICIT CONSTRUCTION

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